Search a number
-
+
243100302432 = 25313230014993
BaseRepresentation
bin1110001001100111101…
…0000011110001100000
3212020111002002220101220
43202121322003301200
512440332134134212
6303402335055040
723364152322261
oct3423172036140
9766432086356
10243100302432
1194109868359
123b145971480
1319c027a4300
14baa2324968
1564cc21438c
hex3899e83c60

243100302432 has 144 divisors (see below), whose sum is σ = 691370518608. Its totient is φ = 74760192000.

The previous prime is 243100302397. The next prime is 243100302437. The reversal of 243100302432 is 234203001342.

It is a super-2 number, since 2×2431003024322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243100302437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48685728 + ... + 48690720.

It is an arithmetic number, because the mean of its divisors is an integer number (4801184157).

Almost surely, 2243100302432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243100302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345685259304).

243100302432 is an abundant number, since it is smaller than the sum of its proper divisors (448270216176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243100302432 is a wasteful number, since it uses less digits than its factorization.

243100302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8033 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 243100302432 its reverse (234203001342), we get a palindrome (477303303774).

The spelling of 243100302432 in words is "two hundred forty-three billion, one hundred million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 3001 4056 4993 5408 6002 8112 9003 9986 12004 14979 16224 18006 19972 24008 29958 36012 39013 39944 48016 59916 64909 72024 78026 79888 96032 117039 119832 129818 144048 156052 159776 194727 234078 239664 259636 288096 312104 389454 468156 479328 507169 519272 624208 778908 843817 936312 1014338 1038544 1248416 1521507 1557816 1687634 1872624 2028676 2077088 2531451 3043014 3115632 3375268 3745248 4057352 5062902 6086028 6231264 6750536 8114704 10125804 12172056 13501072 14983993 16229408 20251608 24344112 27002144 29967986 40503216 44951979 48688224 59935972 81006432 89903958 119871944 179807916 194791909 239743888 359615832 389583818 479487776 584375727 719231664 779167636 1168751454 1438463328 1558335272 2337502908 2532294817 3116670544 4675005816 5064589634 6233341088 7596884451 9350011632 10129179268 15193768902 18700023264 20258358536 30387537804 40516717072 60775075608 81033434144 121550151216 243100302432